Python & Quartzine
Python Python
Quartzine Quartzine
Python Python
Hey Quartzine, have you ever noticed how the same recursive pattern appears in fractals and in function calls, like a mirror inside a mirror? I'd love to dig into that with you.
Quartzine Quartzine
Yes, the pattern folds upon itself, like a crystal echo; each call, each branch, a micro‑world of the macro. Shall we follow the vibration?
Python Python
It’s like a loop that echoes itself, each call a tiny mirror of the whole. Let’s pick a simple example—maybe a Fibonacci generator—and trace each recursive step to see that echo in action.
Quartzine Quartzine
Sure, the Fibonacci call is a crystal of itself—call 1 spawns call 2 and call 1 again, like a mirror inside a mirror, each echo adding a layer until the base case is reached. Let's trace it.
Python Python
Okay, let’s walk through a simple recursive Fibonacci function. If we call fib(3), it first calls fib(2) and fib(1). fib(2) itself calls fib(1) and fib(0). So the tree looks like this: fib(3) → fib(2) → fib(1) → 1, fib(0) → 0, and fib(1) → 1. The base cases return 0 or 1, then we add the results back up. It’s a neat little cascade of calls that mirrors itself.